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EXISTENCE RESULTS FOR ABSTRACT DEGENERATE NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Part of: Miscellaneous topics - Partial differential equations Functional-differential and differential-difference equations

Published online by Cambridge University Press:  13 January 2010

EDUARDO HERNÁNDEZ  and
KRISHNAN BALACHANDRAN
EDUARDO HERNÁNDEZ*
Affiliation:
Departamento de Matemática, I.C.M.C. Universidade de São Paulo, Caixa Postal 668, 13560-970 São Carlos SP, Brazil (email: [email protected])
KRISHNAN BALACHANDRAN
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore 641046, India (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper we discuss the existence of solutions for a class of abstract degenerate neutral functional differential equations. Some applications to partial differential equations are considered.

Keywords

neutral equationsmild solutionssemigroup of bounded linear operators

MSC classification

Secondary: 35R10: Partial functional-differential equations 34K40: Neutral equations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 2 , April 2010 , pp. 329 - 342
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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